Alladi Ramakrishnan Hall

On a density theoretic approach to Erdos Conjecture involving Dirichlet Series.

Mr. Abhishek T Bharadwaj.

Chennai Mathematical Institute.

Let $f: \mathbb{N} \mapsto {\pm 1,0}$ be periodic mod q such that $f(a)=
\pm1$ for $1\le a $\sum_{n \ge 1} \frac{f(n)}{n}
eq 0$. In this talk, we will discuss
about a density theoretic approach to prove that the conjecture is true
for at least 82% of the numbers $q \equiv 1 \text{mod} 4$. This work is
done by M. Ram Murty and Tapas Chatterjee.